Details

sample13.0ms

Algorithm

intervals

Results

6.0ms

330×

body

valid

simplify30.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	19	4
1	45	4
2	82	3
3	127	3
4	168	3
5	224	3
6	359	3
7	666	3
8	763	3
9	763	3

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 0.253 (* x 0.12))
0.1b	(* x (+ 0.253 (* x 0.12)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`fma-def` `associate-r` `associate-l`
2×	`expm1-log1p-u` `flip3-+` `associate-*r/` `flip-+` `log1p-expm1-u`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 40

Calls

2 calls:

5.0ms	(+ 0.253 (* x 0.12))
7.0ms	(* x (+ 0.253 (* x 0.12)))

series98.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(+ 0.253 (* x 0.12))
63.0ms	(* x (+ 0.253 (* x 0.12)))

simplify117.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	175	184
1	809	150
2	4290	148
3	5001	148

prune99.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b	(* x (fma 0.12 x 0.253))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
2×	`fma-udef`
1×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 22

Calls

1 calls:

3.0ms

(* x (fma 0.12 x 0.253))

series64.0ms

Counts

1 → 3

Calls

1 calls:

64.0ms

(* x (fma 0.12 x 0.253))

simplify49.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	82	89
1	345	76
2	1707	76
3	5003	76

prune43.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 0.253 (* x 0.12))
0.1b	(* x (/ (* (fma 0.12 x 0.253) (- 0.253 (* x 0.12))) (- 0.253 (* x 0.12))))
0.2b	(* (fma 0.12 x 0.253) (- 0.253 (* x 0.12)))
0.2b	(/ (* (fma 0.12 x 0.253) (- 0.253 (* x 0.12))) (- 0.253 (* x 0.12)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log` `add-cbrt-cube`
19×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
12×	`associate-r`
9×	`prod-diff`
8×	`pow1`
6×	`times-frac` `associate-l` `prod-exp` `cbrt-unprod` `add-log-exp`
5×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*r/` `flip--`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `associate-/r/` `log1p-expm1-u`
3×	`sub-neg` `fma-neg` `associate-/r*`
2×	`pow-prod-down` `*-commutative` `div-inv` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `diff-log` `clear-num` `associate-/l*`

Counts

4 → 110

Calls

4 calls:

2.0ms	(- 0.253 (* x 0.12))
14.0ms	(* x (/ (* (fma 0.12 x 0.253) (- 0.253 (* x 0.12))) (- 0.253 (* x 0.12))))
8.0ms	(* (fma 0.12 x 0.253) (- 0.253 (* x 0.12)))
9.0ms	(/ (* (fma 0.12 x 0.253) (- 0.253 (* x 0.12))) (- 0.253 (* x 0.12)))

series240.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(- 0.253 (* x 0.12))
64.0ms	(* x (/ (* (fma 0.12 x 0.253) (- 0.253 (* x 0.12))) (- 0.253 (* x 0.12))))
105.0ms	(* (fma 0.12 x 0.253) (- 0.253 (* x 0.12)))
35.0ms	(/ (* (fma 0.12 x 0.253) (- 0.253 (* x 0.12))) (- 0.253 (* x 0.12)))

simplify86.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	379	867
1	2372	588
2	5002	588

prune254.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 0.253 (* x 0.12))
0.1b	(/ (- 0.064009 (* 0.0144 (pow x 2))) (- 0.253 (* x 0.12)))
0.2b	(* 0.0144 (pow x 2))
0.4b	(* x (/ (- 0.064009 (* 0.0144 (pow x 2))) (- 0.253 (* x 0.12))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
25×	`add-cube-cbrt` `*-un-lft-identity`
23×	`associate-r`
19×	`times-frac`
16×	`add-exp-log`
13×	`add-cbrt-cube`
6×	`pow1` `associate-l` `add-log-exp` `unswap-sqr`
5×	`prod-exp`
4×	`expm1-log1p-u` `unpow-prod-down` `flip3--` `associate-/r/` `flip--` `log1p-expm1-u`
3×	`fma-neg` `prod-diff` `associate-/r` `cbrt-unprod` `associate-/l`
2×	`cbrt-undiv` `div-exp` `*-commutative` `div-inv` `associate-/l/` `unpow2` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `frac-2neg` `diff-log` `div-sub` `associate-*r/` `pow-prod-down` `pow-exp` `clear-num`

Counts

4 → 119

Calls

4 calls:

2.0ms	(- 0.253 (* x 0.12))
8.0ms	(/ (- 0.064009 (* 0.0144 (pow x 2))) (- 0.253 (* x 0.12)))
5.0ms	(* 0.0144 (pow x 2))
15.0ms	(* x (/ (- 0.064009 (* 0.0144 (pow x 2))) (- 0.253 (* x 0.12))))

series350.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(- 0.253 (* x 0.12))
118.0ms	(/ (- 0.064009 (* 0.0144 (pow x 2))) (- 0.253 (* x 0.12)))
28.0ms	(* 0.0144 (pow x 2))
166.0ms	(* x (/ (- 0.064009 (* 0.0144 (pow x 2))) (- 0.253 (* x 0.12))))

simplify72.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	451	924
1	2128	822
2	5001	822

prune302.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes19.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample308.0ms

Algorithm

intervals

Results

194.0ms

10694×

body

valid